Results 221 to 230 of about 6,455 (264)

Beams on bilinear elastic foundations

International Journal of Mechanical Sciences, 1972
Abstract A perturbation solution to the dynamical problem of an Euler-Bernoulli beam on a piecewise linear elastic foundation is presented. The response of the foundation is assumed to be different in compression and in tension. Property difference of the foundation is symbolized by the perturbation parameter (foundation parameter) used in the ...
Farshad, M., Shaninpoor, M.
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Beams on Elastic Foundation

1995
In this chapter a numerical method for the solution of the problem of a beam on an elastic foundation is presented. Special care will be taken that the program can be used for beams consisting of sections of unequal length, as the program is to be used as a basis for a sheet pile wall program, and for a program for a laterally loaded pile in a layered ...
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Bending of an Infinite Beam on an Elastic Foundation

Journal of Applied Mechanics, 1937
Abstract The elementary theory of the bending of a beam on an elastic foundation is based on the assumption that the beam is resting on a continuously distributed set of springs the stiffness of which is defined by a “modulus of the foundation” k. Very seldom, however, does it happen that the foundation is actually constituted this way.
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Series Solutions for Beams on Elastic Foundations

Journal of Applied Mechanics, 1971
In this paper series solutions are derived for beams on elastic foundation, subjected to a variety of end and loading conditions. These series solutions have the following advantages over the “formal” solutions of the differential equations of the corresponding problems: 1.
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Shear Deformation in Beams on Elastic Foundations

Journal of Applied Mechanics, 1962
The importance of the effect of transverse shear deformation in the flexure of an elastic beam of symmetric cross section, constrained by a Winkler-type elastic foundation, is found to depend upon both the elastic properties of the beam and the foundation and the geometry of the beam cross section.
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Random Deflections of a String on an Elastic Foundation

SIAM Journal on Applied Mathematics, 1972
The paper is concerned with the problem of a taut string on a random elastic foundation subjected to random loads. The boundary value problem is transformed into an initial value problem by the method of invariant imbedding. Fokker–Planck equations for the random initial value problem are formulated and solved in some special cases.
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Eigenfunction Solution for Beam on Elastic Foundation

Journal of Applied Mechanics, 1969
A solution for the end problem of a rectangular beam resting on a simple elastic foundation is obtained as a series expansion in the eigenfunctions of the system. For a beam aligned with the ξ-axis, the eigenfunctions are of the form eγξf(y), where γ is one of the complex eigenvalues. The eigenvalue equation is determined by requiring continuity of the
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Vibrations of a beam on elastic foundation II

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1959
AbstractIn an earlier paper, the equations describing the vibrations of a beam on elastic foundation under the action of an alternating force whose point of application moves along the beam was solved by the author, neglecting damping. The effect of damping is taken into account in the present work, and explicit solutions, valid for all frequencies and
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Dynamic characteristic analysis of beam structures with nonlinear elastic foundations and boundaries

International Journal of Non-Linear Mechanics, 2023
Yu-Jia Zhai, Zhi-Sai Ma, Qian Ding
exaly  

A theory of elastic foundations

Archive for Rational Mechanics and Analysis, 1980
Bharatha, S., Levinson, M.
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